Answer:
Step-by-step explanation:
So, as shown in the picture below, you first have to find the line y = -1. Then that’s what your going to reflect. Imagine that your making a print of it, that’s how you will reflect it. Imagine taking a piece of paper with that triangle on it and folding it along that line I drew in my picture (at y=-1). Hope that helped!
Answer:
See Below.
Step-by-step explanation:
We want to show that the function:

Increases for all values of <em>x</em>.
A function is increasing whenever its derivative is positive.
So, find the derivative of our function:
![\displaystyle f'(x) = \frac{d}{dx}\left[e^x - e^{-x}\right]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20f%27%28x%29%20%3D%20%5Cfrac%7Bd%7D%7Bdx%7D%5Cleft%5Be%5Ex%20-%20e%5E%7B-x%7D%5Cright%5D)
Differentiate:

Simplify:

Since eˣ is always greater than zero and e⁻ˣ is also always greater than zero, f'(x) is always positive. Hence, the original function increases for all values of <em>x.</em>
Answer:
The first term is 42.
Step-by-step explanation:
The common difference is 142 - 140 = 2 so we have
50th term = a1 + 2(50 -1) = 140 where a1 is the first term
a1 + 98 = 140
a1 = 140 - 98 = 42.
Answer:
2.83 s
Step-by-step explanation:
We are given that

When a rock reached the ground then h(t)=0


Using quadratic formula





Time cannot be negative .Therefore, negative value of t can not be possible.
Hence, the rock takes 2.83 sec to reach the ground.
Answer:
m=26 and s=16
Step-by-step explanation: